That depends.
Is a color blind person really color blind?
I am "color blind" but I can see colors.
So since I can see colors I am not really color blind.
So I guess lotz-o-stuff "depends".
Doesn't it depend on what the definition of colorblindness is.
I sometimes have trouble distinguishing between green blue and blue green. It depends on contrast and available light.
I have never been diagnosed as color blind. I can distinguish the primary colors fine.
But back to your original point.
Again it depends on what you mean by no choice. Does no choice mean that there are not options to choose from or does it mean that the option to choose is disallowed.
So if given the choice to be colorblind would you choose it, or is colorblindness in your case not optional, it is part of your condition of being, and thus not open to choice.